96-127 Komech A., Spohn H.

Soliton-Like Asymptotics for a Classical Particle Interacting with a Scalar Wave Field (33K, Latex) Apr 11, 96

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Abstract. We consider a scalar wave field translation invariantly coupled to a single particle. This Hamiltonian system admits soliton-like solutions, where the particle and comoving field travel with constant velocity. We prove that a solution of finite energy converges, in suitable local energy seminorms, to some soliton-like solutions in the long time limit $t\to\pm\infty$.

Files: 96-127.tex